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26551140 = 22357211821
BaseRepresentation
bin110010101001…
…0001101100100
31211221221022120
41211102031210
523244114030
62345025540
7441452400
oct145221544
954857276
1026551140
1113a952a0
128a852b0
135668245
143752100
1524e7010
hex1952364

26551140 has 144 divisors (see below), whose sum is σ = 94457664. Its totient is φ = 5510400.

The previous prime is 26551139. The next prime is 26551157. The reversal of 26551140 is 4115562.

It is a self number, because there is not a number n which added to its sum of digits gives 26551140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31930 + ... + 32750.

It is an arithmetic number, because the mean of its divisors is an integer number (655956).

Almost surely, 226551140 is an apocalyptic number.

26551140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47228832).

26551140 is an abundant number, since it is smaller than the sum of its proper divisors (67906524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26551140 is a wasteful number, since it uses less digits than its factorization.

26551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 26551140 is about 5152.7798322847. The cubic root of 26551140 is about 298.3282571119.

The spelling of 26551140 in words is "twenty-six million, five hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 821 924 980 1078 1155 1470 1540 1617 1642 2156 2310 2463 2695 2940 3234 3284 4105 4620 4926 5390 5747 6468 8085 8210 9031 9852 10780 11494 12315 16170 16420 17241 18062 22988 24630 27093 28735 32340 34482 36124 40229 45155 49260 54186 57470 63217 68964 80458 86205 90310 108372 114940 120687 126434 135465 160916 172410 180620 189651 201145 241374 252868 270930 316085 344820 379302 402290 442519 482748 541860 603435 632170 758604 804580 885038 948255 1206870 1264340 1327557 1770076 1896510 2212595 2413740 2655114 3793020 4425190 5310228 6637785 8850380 13275570 26551140